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chao-dyn1998★ 466 cited
Periodic Orbit Theory and Spectral Statistics for Quantum Graphs
Tsampikos Kottos, Uzy Smilansky
We quantize graphs (networks) which consist of a finite number of bonds and vertices. We show that the spectral statistics of fully connected graphs is well reproduced by random ma…
cond-mat.dis-nn1998★ 15 cited
Finite-length Lyapunov exponents and conductance for quasi-1D disordered solids
T. Kottos, F. M. Izrailev, A. Politi
The transfer matrix method is applied to finite quasi-1D disordered samples attached to perfect leads. The model is described by structured band matrices with random and regular en…
cond-mat.dis-nn1998
Finite-Size Corrections in Lyapunov Spectra for Band Random Matrices
T. Kottos, A. Politi, F. M. Izrailev
The transfer matrix method is applied to quasi one-dimensional and one-dimensional disordered systems with long-range interactions, described by band random matrices. We investigat…